Coordinate systems for the radiative transfer equation in curvilinear media

1992 ◽  
Vol 48 (4) ◽  
pp. 427-440 ◽  
Author(s):  
Peter D. Jones ◽  
Yildiz Bayazitoglu
Keyword(s):  
Radiative Transfer ◽  
Transfer Equation ◽  
Radiative Transfer Equation ◽  
Coordinate Systems

scholarly journals Polarized radiative transfer equation in some nontrivial coordinate systems

2011 ◽  
Vol 7 (S283) ◽  
pp. 360-361
Author(s):  
Juris Freimanis
Keyword(s):  
Refractive Index ◽  
Differential Operator ◽  
Radiative Transfer ◽  
Euclidean Space ◽  
Coordinate System ◽  
Transfer Equation ◽  
Effective Refractive Index ◽  
Radiative Transfer Equation ◽  
Coordinate Systems ◽  
Prolate Spheroidal

AbstractExplicit expressions for the differential operator of stationary quasi-monochromatic polarized radiative transfer equation in Euclidean space with piecewise homogeneous real part of the effective refractive index are obtained in circular cylindrical, prolate spheroidal, elliptic conical, classic toroidal and simple toroidal coordinate system.

scholarly journals Polarized Radiative Transfer Equation in Some Geometries of Elliptic Type

2011 ◽  
Vol 7 (S282) ◽  
pp. 253-254
Author(s):  
Juris Freimanis
Keyword(s):  
Refractive Index ◽  
Differential Operator ◽  
Radiative Transfer ◽  
Transfer Equation ◽  
Radiative Transfer Equation ◽  
Elliptic Type ◽  
Coordinate Systems ◽  
Prolate Spheroidal ◽  
Oblate Spheroidal ◽  
General Method

AbstractA general method, which allows us to derive explicit expressions for the differential operator of stationary quasi-monochromatic polarized radiative transfer equation in Euclidean space, with piecewise homogeneous real part of the effective refractive index, is applied to ellipsoidal, oblate spheroidal, prolate spheroidal and elliptic conical coordinate systems.

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